Instability and Receptivity of Laminar Wall Jets

Results of eigenvalue analysis based on global and local eigenvalue considerations are presented. A collocation method with the Chebyshev polynomial approximation has been used for the global eigenvalue analysis. The results explain the appearance of a second unstable mode. In the case of real frequencies with Reynolds number R < 381 there is only one unstable mode. This mode coalesces at R≈ 381 with a stable mode. At R > 381 they become separated by interchannging their branches, then the second unstable mode occurs. The receptivity problem has been considered with respect to perturbations emanating from a wall. The results illustrate that high-frequency modes have a stronger response than low-frequency modes. It is shown that the method of expansion in a biorthogonal eigenfunction system and the method used by Ashpis and Reshotko are equivalent with regard to the receptivity problem solution. Received: 29 March 1996 and accepted 26 November 1996     

On the Stability of a Laminar Wall Jet with Heat Transfer

The hydrodynamic stability of a low speed, plane, non-isothermal laminar wall jet at a constant temperature boundary condition was investigated theoretically and experimentally. The mean velocity and temperature profiles used in the stability analysis were obtained by implementing the Illingworth–Stewartson transformation that allows one to extend the classical Glauert solution to a thermally non-uniform flow. The stability calculations showed that the two unstable eigenmodes coexisting at moderate Reynolds numbers are significantly affected by the heat transfer. Heating is destabilizing the flow while cooling is stabilizing it. However, the large-scale instabilities associated with the inflection point of the velocity profile still amplify in spite of the high level of the stabilizing temperature difference. The calculated stability characteristics of the wall jet with heat transfer were compared with experimental data. The comparison showed excellent agreement for small amplitudes of the imposed perturbations. The agreement is less good for the phase velocities of the sub-harmonic wave and this is attributed to experimental difficulties and to nonlinear effects.     

Soot Extraction from a Laminar Hydrocarbon Flame by Means of an Electric Field

Soot precipitation from a vertical laminar hydrocarbon flame onto a rod mounted outside the flame and having the same negative potential as the burner is investigated experimentally. The voltage-current characteristics of the burner-rod-upper grid electrode system and the currents flowing to each of these elements are determined when both negative and positive potentials are supplied to the burner. The pattern of growth of the soot deposition on the rod with increase in the negative potential is studied. The following fundamental effect is revealed: there is no soot extraction when the burner potential is positive. The experimental results obtained are qualitatively explained.__________Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, 2005, pp. 6–13.Original Russian Text Copyright © 2005 by Vatazhin, Golentsov, and Likhter.     

LES of the Sandia Flame D Using Laminar Flamelet Decomposition for Conditional Source-Term Estimation

A variation of the Laminar Flamelet Decomposition (LFD) method for the Conditional Source Term (CSE) model developed by Bushe and Steiner (Phys Fluids 15:1564–1575, 2003) is implemented into an existing LES code. In this approach, the set of basis functions, on which the decomposition is based, is reduced using the mixture fraction dissipation rate as external parameter for the selection. It was found that reducing the basis improves and stabilises the inversion, resulting in reasonably accurate approximation for the average conditional quantities. Some modifications have been introduced to improve the inversion process by reducing the number of flamelets. This modification is found to help stabilize the inversion and keep the dimension of the linear system small. The model is used to simulate the turbulent non-premixed piloted SANDIA Flame D. Reasonably good predictions for conditional and unconditional average variables were found for different planes and at centreline of the flow field. However, an over prediction of the consumption rate in the near field of the flame is found, which may be partially attributed to the use of the Steady Laminar Flamelets (SLF) as functions for the decomposition and the use of a constant boundary condition for the species mass fractions in solving the flamelets. The present simulation of a turbulent reacting jet is the first test of the LFD approach in a realistic scenario using only the temperature field to calculate the inversion. The model is found to be computationally inexpensive.     

A Combined Experimental/Numerical Study of Unsteady Phenomena in a Laminar Separation Bubble

A laminar boundary layer separates in a region of adverse pressure gradient on a flat plate and undergoes transition. Finally the turbulent boundary layer reattaches, forming a laminar separation bubble (LSB). Laminar-turbulent transition within such a LSB is investigated by means of Laser-Doppler-Anemometry (LDA), Particle Image Velocimetry (PIV), and direct numerical simulation (DNS). The transition mechanism occurring in the flow-field under consideration is discussed in detail. Observations for the development of small disturbances are compared to predictions from viscous linear instability theory (Tollmien–Schlichting instability). Non-linear development of these disturbances and their role in final breakdown to turbulence is analyzed.     

3D Steady and Unsteady Bifurcations in a Shock-wave/Laminar Boundary Layer Interaction: A Numerical Study

The principal objective of this paper is to study some unsteady characteristics of an interaction between an incident oblique shock wave impinging a laminar boundary layer developing on a plate plane. More precisely, this paper shows that some unsteadiness, in particular the low frequency unsteadiness, originate in a supercritical Hopf bifurcation related to the dynamics of the separated boundary layer and not necessarily to the coherent structures resulting from the turbulent character of the boundary layer crossing the shock wave. Numerical computations of a shock-wave/laminar boundary-layer interaction (SWBLI) have been compared with a classical test case (Degrez test case) and both two-dimensional and three-dimensional (3D) unsteady Navier–Stokes equations are numerically solved with an implicit dual time stepping for the temporal algorithm and high order AUSM+ scheme for the spatial discretization. A parametric study on the oblique shock-wave angle has been performed to characterize the unsteady behaviour onset. Finally, discussions and assumptions are made about the origin of the 3D low frequency unsteadiness.     

超音速/高超音速三维边界层的层流控制基金项目

根据可压缩黏性稳定性理论研究了壁面冷却和抽吸对超音速、高超音速三维边界层的层流控制作用.数值结果证明壁面冷却对第一模式起稳定作用,对第二模式有不稳定作用;壁面抽吸对第一、二模式都起稳定作用;直到Me＝7,导致绝热壁边界层转捩的始终是第一模式,Me≥6的冷却壁边界层则是第二模式对转捩起主导作用.壁面冷却能够推迟边界层转捩,但是和二维边界层相比壁面冷却对高速三维边界层的层流控制作用是很有限的.     

On the Effect of Pipe Boundary Layer Growth on the Formation of a Laminar Vortex Ring Generated by a Piston/Cylinder Arrangement

The growth of a boundary layer at the nozzle wall during laminar vortex ring formation by a nozzle flow generator (piston/cylinder arrangement) is analysed theoretically and numerically and used for modelling the formation of real vortex rings. The predictions of the model are in good agreement with previous experimental and numerical results. Received 19 January 2000 and accepted 17 August 2001     

DNS Analysis of Wall Heat Transfer and Combustion Regimes in a Turbulent Non-premixed Wall-jet Flame

Understanding the heat-release effects on the wall heat transfer in turbulent reacting flows, i.e. heat transfer with or without significant density variation, is essential for a wide variety of industrial flows, especially combustion problems. The present study focuses on the wall heat transfer and the near-wall reaction characteristics. The heat-release effects on the wall heat transfer and skin-friction coefficients are investigated using three-dimensional direct numerical simulations of a turbulent reacting wall-jet flow with and without heat release. Reductions in the skin-friction coefficient are observed in the exothermic case, compared to the isothermal one, and the underlying mechanism is explained. The absolute wall heat flux also increases, while the corresponding Nusselt number decreases with increasing heat release. Furthermore, the wall effects on the near-wall average burning rate are assessed. It is found that the isothermal cold wall results in an appreciable decrease of the burning rate in the exothermic cases. We observed indications that the wall increases the chances for the development of the premixed mode and its occurrence is very fast in the wall-normal direction.     

Theory of the Local Self-Similar Regime of the Laminar Free-Convection Boundary Layer in the Neighborhood of a Vertical Wall

Asymptotic criteria of transition to the local self-similar regime are obtained for laminar natural convection in the neighborhood of a vertical wall in a stably temperature-stratified medium with arbitrary variation of the wall temperature. The real boundaries of the local self-similar regime are investigated for a power law of variation of the temperature along the vertical wall.     

Heat Transfer Study of the Hencken Burner Flame

The Hencken burner flame is often used in combustion laser diagnostics as a calibration flame because of its near adiabatic condition. For a fast burning H₂ flame, it can tolerate high flow rate and the flame is indeed near adiabatic; however, for a slow burning CH₄ flame, the flow rate is not always high enough to maintain near adiabatic conditions. The heat transfer of the H₂ and CH₄ Hencken burner flames are studied numerically and experimentally. Three heat loss mechanisms are analyzed: the burner surface radiation, the hot gas radiation, and the convection heat transfer between the main flow and the co-flow. The surface radiation produces negligible temperature drop while the gas radiation and the convection heat loss contribute significant temperature drop. Reducing the co-flow rate can decrease the convection heat loss slightly. The temperature drop caused by the heat loss is inversely proportional to the main flow rate. Increasing the burner size and running the flame premixed mode can increase the flow rate and reduce the temperature deviation from the adiabatic equilibrium value. Based on the heat loss and temperature drop analysis, suggestions are given to maintain the flame at near adiabatic conditions.     

Effect of Inflow Turbulence on an Airfoil Flow with Laminar Separation Bubble: An LES Study

The present paper is concerned with numerical investigations on the effect of inflow turbulence on the flow around a SD7003 airfoil. At a Reynolds number Re_c =?60,000, an angle of attack α =?4^° and a low or zero turbulence intensity of the oncoming flow, the flow past the airfoil is known to be dominated by early separation, subsequent transition and reattachment leading to a laminar separation bubble with a distinctive pressure plateau. The objective of the study is to investigate the effect of inflow turbulence on the flow behavior. For this purpose, a numerical methodology relying on a wall-resolved large-eddy simulation, a synthetic turbulence inflow generator and a specific source term concept for introducing the turbulence fluctuations within the computational domain is used. The numerical technique applied allows the variation of the free-stream turbulence intensity (TI) in a wide range. In order to analyze the influence of TI on the arising instantaneous and time-averaged flow field past the airfoil, the present study evaluates the range 0% ≤ TI ≤?11.2%, which covers typical values found in atmospheric boundary layers. In accordance with experimental studies it is shown that the laminar separation bubble first shrinks and finally completely vanishes for increasing inflow turbulence. Consequently, the aerodynamic performance in terms of the lift-to-drag ratio increases. Furthermore, the effect of the time and length scales of the isotropic inflow turbulence on the development of the flow field around the airfoil is analyzed and a perceptible influence is found. Within the range of inflow scales studied decreasing scales augment the receptivity of the boundary layer promoting an earlier transition.     

A Numerical Study of Laminar Reciprocating Flow in a Pipe of Finite Length

A numerical investigation has been carried out for a laminar incompressible reciprocating flow in a circular pipe with a finite length. An examination of the governing equations and boundary conditions indicates that a sinusoidally reciprocating flow is governed by three similarity parameters: the kinetic Reynolds number Re, the dimensionless oscillation amplitude A_o, and the length to diameter ratio L/D. The numerical solution for the velocity profiles of a developing reciprocating flow shows that at any instant of time, there exist three flow regimes in the pipe, namely, an entrance regime, a fully developed regime and an exit regime. The numerical results for the fully developed region are shown to be in excellent agreement with the analytical solution. Based on the numerical results, a correlation equation of the space-cycle averaged friction coefficient for a laminar developing reciprocating pipe flow has been obtained in terms of the three similarity parameters.     

LES of Premixed Methane Flame Impinging on the Wall Using Non-adiabatic Flamelet Generated Manifold (FGM) Approach

In this paper LES of flame wall interaction using a non-adiabatic FGM approach is reported for a premixed methane fuel jet impinging on a spherical disk. Nitrogen is used as co-flow in order to avoid the interaction with the surrounding air and combustion. The flow field is described by means of the Smagorinsky model with Germano procedure for SGS stresses. The SGS scalar flux in scalar transport equations is modeled by the linear eddy diffusivity model. Two aspects are especially addressed in this paper. First focus is on the grid resolution required near the wall without including a special wall-adapted SGS modeling in reacting configurations. The second aspect is devoted to the integration of the near wall kinetic effects into the FGM framework. The results for the flow field, mixing and combustion properties are presented and analyzed in terms of grid resolution, Reynolds number (in reacting and non-reacting case) and adiabaticity. Comparisons with available experimental data show satisfactory agreement. An outline of the thermal and flow boundary layer analysis is subsequently provided.     

固体薄膜/液体膜/基底层状结构中液体膜/基底界面不平整性对结构稳定性影响

考虑液体层较薄的情况下液体膜/基底间界面不平整对结构的稳定性,特别是固体薄膜稳定时的褶皱变形产生的影响。用一扰动函数模拟液体膜/基底间界面的不平整,计算固体膜受力变形前后结构能量的变化,进而分析其稳定性。取两个扰动函数的特例,具体分析了液体膜/基底间界面不平整对结构能量变化以及对结构平衡态的影响。结果表明,平衡时固体膜褶皱变形与原来假设液体膜/基底间界面为理想平整面所得的结果有很大不同。     

Lifted Diffusion Flame Stabilisation: Conditional Analysis of Multi-Parameter High-Repetition Rate Diagnostics at the Flame Base

Data from simultaneous 5?kHz OH-PLIF and Stereo-PIV at the stabilisation region of a propane/ argon lifted diffusion jet flame are presented for jet-exit Reynolds numbers of 10,000 and 15,000. The time history leading to the upstream appearance of flame islands is investigated for both flames. These flame islands are found to be preceded, on average, by a increased out-of-plane fluid velocity. Conditioning local flame statistics on the instantaneous flame base, as indicated by the OH image, permits analysis of upstream and downstream flame motions (in laboratory co-ordinates). The relative velocity is investigated by conditioning out the data with significant out-of-plane fluid velocity. This has introduced greater accuracy over previous attempts at estimating this quantity. No evidence is found for a correlation between increased turbulence intensity or the passage of large scale eddies with increased flame propagation speeds. Furthermore, divergence at the flame base is not found to correlate with upstream flame motion (as a combination of propagation and convection). The volume of the data investigated has led to the development of robust statistics for all quantities presented here.     

Simulation of Cement/Clay Interactions: Feedback on the Increasing Complexity of Modelling Strategies

During the last decade, numerous studies have focused on long-term predictive reactive transport modelling of cement/clay interactions. These simulations have been performed using modelling strategies of growing complexity, e.g. (i) taking more minerals into account, (ii) considering the effect of dissolution/precipitation kinetics versus thermodynamic equilibrium, (iii) refining the spatial discretisation of the models, etc. The present study reviews these simulations in order to identify the main factors affecting numerical results (e.g. mass transport, mesh, selected phases). Simulations are reproduced here with a consistent set of data and input parameters arranged with increasing order of complexity. Only such a standardised approach can allow a proper comparison of numerical results. Modelled reaction pathways (i.e. mineralogical transformations) appear to be independent from the chosen modelling assumptions. Irrespective of the simulated case or the underlying hypotheses, the geochemical transformations remain located very close to the cement/clay interface.     

Laminar forced convection in vertical pipes exposed to external natural convection and external radiation: uncoupled/lumped solution

This paper is concerned with the laminar forced convection flow in a vertical pipe exposed to either natural convection or simultaneous natural convection and thermal radiation external to the pipe. An uncoupled/lumped formulation enabled the determination of the mean bulk temperature distribution of the internal flow and the total rate of heat transfer. Average values for both internal and external Nusselt numbers have been taken from standard correlations reported in the literature, leading to the calculation of an effective average Nusselt number, which controls the thermal interaction process. Typical results for a selected combination of internal and external fluids are discussed at length and they compared favorably with others based on a conjugate/numerical formulation. This formulation necessitated a finite difference methodology where information was transferred between the two flows (internal and external), via their respective heat transfer coefficients. On the other hand, attention was focused on the uncoupled/lumped formulation in order to examine in detail the effects of the thermal boundary conditions, and consequently the important role of radiation as an enhancing heat transfer mechanism.     

固壁空蚀数值研究

空蚀是空泡在固壁附近溃灭对固壁材料产生破坏的现象。本文将空泡界面假设为自由面，并由VOF(Volume of Fluid)中界面构造精度较高的Youngs方法求解，通过直接计算原始变量的Navier-Stokes方程，数值模拟了空泡距固壁不同位置时溃灭对固壁造成的空蚀破坏。计算发现空泡溃灭产生高压脉冲相对于高速射流对空蚀形成起主导作用；空泡在流场中位置不同，高压脉冲对固壁上的空蚀破坏结果不同，并给出了距离界限。     

Experimental Study on the Behaviour of Local Laminar Separation Bubble at a Rectangular Wing Section

This paper identifies laminar separation bubbles at the root or span-wise midsection of a rectangular wing using direct surface pressure measurements in the wind tunnel and analyses their behavior at different Reynolds numbers and angles of attack. The separation, transition, and reattachment locations are determined as functions of the angles of attack and the Reynolds number. The transition structure and turbulence characteristics in the separated shear layer are studied using laser Doppler velocimetry. Surface pressure data and simultaneously acquired velocity signals are correlated to show the pattern of growing disturbances in the shear layer. Surface oil flow visualizations clarified the wingtip and separation bubble’s interactions near the leading edge of the wing at the higher angles of attack. Turbulence statistics are also calculated from the streamwise velocity distributions, and an apparent deviation is observed for the skewness and flatness values from the normal distributions in the near-wall region. The separation bubble effect on aerodynamic coefficients of a 3D rectangular wing root section is studied and reported.